{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib.animation\n",
    "from scipy.io import wavfile\n",
    "import scipy.signal\n",
    "import torch\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "plt.rcParams.update({\n",
    "    \"text.usetex\": True,\n",
    "    \"font.family\": \"Helvetica\",\n",
    "    \"font.size\": 20\n",
    "})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "def load_lpcnet_features(feature_file, version=2):\n",
    "    if version == 2 or version == 3:\n",
    "        layout = {\n",
    "            'cepstrum': [0,18],\n",
    "            'periods': [18, 19],\n",
    "            'pitch_corr': [19, 20],\n",
    "            'lpc': [20, 36]\n",
    "            }\n",
    "        frame_length = 36\n",
    "\n",
    "    elif version == 1:\n",
    "        layout = {\n",
    "            'cepstrum': [0,18],\n",
    "            'periods': [36, 37],\n",
    "            'pitch_corr': [37, 38],\n",
    "            'lpc': [39, 55],\n",
    "            }\n",
    "        frame_length = 55\n",
    "    else:\n",
    "        raise ValueError(f'unknown feature version: {version}')\n",
    "\n",
    "\n",
    "    raw_features = torch.from_numpy(np.fromfile(feature_file, dtype='float32'))\n",
    "    raw_features = raw_features.reshape((-1, frame_length))\n",
    "\n",
    "    features = torch.cat(\n",
    "        [\n",
    "            raw_features[:, layout['cepstrum'][0]   : layout['cepstrum'][1]],\n",
    "            raw_features[:, layout['pitch_corr'][0] : layout['pitch_corr'][1]]\n",
    "        ],\n",
    "        dim=1\n",
    "    )\n",
    "\n",
    "    lpcs = raw_features[:, layout['lpc'][0]   : layout['lpc'][1]]\n",
    "    if version < 3:\n",
    "        periods = (0.1 + 50 * raw_features[:, layout['periods'][0] : layout['periods'][1]] + 100).long()\n",
    "    else:\n",
    "        periods = torch.round(torch.clip(256./2**(raw_features[:, layout['periods'][0] : layout['periods'][1]] + 1.5), 32, 256)).long()\n",
    "\n",
    "    return {'features' : features, 'periods' : periods, 'lpcs' : lpcs}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "lpcnet_features = load_lpcnet_features('lp/features.f32')\n",
    "\n",
    "features = lpcnet_features['features'].numpy()\n",
    "periods = lpcnet_features['periods'].squeeze(-1).numpy()\n",
    "lpcs = lpcnet_features['lpcs'].numpy()\n",
    "\n",
    "x = np.fromfile('data/critical_3.pcm', dtype=np.int16).astype(np.float32) / 2**15\n",
    "x = np.concatenate((np.zeros(80), x, np.zeros(320)))\n",
    "x_preemph = x.copy()\n",
    "x_preemph[1:] -= 0.85 * x_preemph[:-1]\n",
    "\n",
    "num_frames = features.shape[0]\n",
    "x = x[:160 * num_frames]\n",
    "x_preemph = x_preemph[:160 * num_frames]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "def stp(A, alpha=0.8, beta=0.5):\n",
    "    A_num = A * (beta ** np.arange(len(A)))\n",
    "    A_den = A * (alpha ** np.arange(len(A)))\n",
    "    \n",
    "    return A_num, A_den"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "frame_idx = 31"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7ff3342887f0>]"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "A = np.concatenate((np.ones(1), lpcs[frame_idx]))\n",
    "A_num, A_den = stp(A)\n",
    "w, h = scipy.signal.freqz([1], A, fs=16000)\n",
    "w, h_stp = scipy.signal.freqz(A_num, A_den, fs=16000)\n",
    "plt.plot(w/1000, 10*np.log10(np.abs(h)))\n",
    "plt.plot(w/1000, 10*np.log10(np.abs(h_stp)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "x_frame = x_preemph[frame_idx * 160 - 80: (frame_idx + 1) * 160 + 80]\n",
    "\n",
    "window = scipy.signal.get_window('hamming', 320)\n",
    "spec = np.fft.fft(x_frame, n=1024)\n",
    "\n",
    "log_mag = 10*np.log10(np.abs(spec[:512]) + 1e-6)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 648x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(9, 6))\n",
    "\n",
    "plt.plot(w/1000, log_mag - log_mag.mean(), alpha=0.7, label='spectrum')\n",
    "plt.plot(w/1000, 10*np.log10(np.abs(h)), \"r--\", label='LPC spectrum', linewidth=3, alpha=0.9)\n",
    "plt.plot(w/1000, 10*np.log10(np.abs(h_stp)), \"k--\", label='short-term postfilter', linewidth=3, alpha=0.9)\n",
    "plt.legend()\n",
    "plt.xlabel('kHz')\n",
    "plt.ylabel('Amplitude (dB)')\n",
    "plt.show()\n",
    "fig.savefig('plots/short_term_postfilter.png')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "metadata": {},
   "outputs": [],
   "source": [
    "periods[frame_idx]\n",
    "\n",
    "p = int(periods[frame_idx])\n",
    "ltp_num = np.zeros(p+1)\n",
    "ltp_den = np.zeros(p+1)\n",
    "\n",
    "ltp_num[0] = ltp_den[0] = 1\n",
    "ltp_num[p] = 0.25\n",
    "ltp_den[p] = -0.25\n",
    "\n",
    "w, h_ltp = scipy.signal.freqz(ltp_num, ltp_den, fs=16000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 648x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(9, 6))\n",
    "plt.plot(w/1000, log_mag - log_mag.mean(), alpha=0.7, label='spectrum')\n",
    "plt.plot(w/1000, 10*np.log10(np.abs(h_ltp)), \"k\", alpha=1, label='long-term postfilter', linewidth=1.5)\n",
    "plt.legend()\n",
    "plt.xlabel('kHz')\n",
    "plt.ylabel('Amplitude (dB)')\n",
    "plt.show()\n",
    "fig.savefig('plots/long_term_postfilter.png')"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "torch",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.12"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
